Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4824, 4828 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4824 and 4828 is 4.
GCF(4824,4828) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4824
2 | 4824 |
2 | 2412 |
2 | 1206 |
3 | 603 |
3 | 201 |
67 | 67 |
1 |
Prime factors of 4824 are 2,3,67. Prime factorization of 4824 in exponential form is:
4824 = 23×32×671
Prime Factorization of 4828
2 | 4828 |
2 | 2414 |
17 | 1207 |
71 | 71 |
1 |
Prime factors of 4828 are 2,17,71. Prime factorization of 4828 in exponential form is:
4828 = 22×171×711
∴ So by taking common prime factors GCF of 4824 and 4828 is 4
Factors of 4824
List of positive integer factors of 4824 that divides 4824 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824
Factors of 4828
List of positive integer factors of 4828 that divides 4828 without a remainder.
1,2,4,17,34,68,71,142,284,1207,2414,4828
Greatest Common Factor
We found the factors and prime factorization of 4824 and 4828. The biggest common factor number is the GCF number.
So the greatest common factor 4824 and 4828 is 4.
Also check out the Least Common Multiple of 4824 and 4828
(i) The GCF of 4824 and 4828 is associative
GCF of 4824 and 4828 = GCF of 4828 and 4824
1. What is the GCF of 4824 and 4828?
Answer: GCF of 4824 and 4828 is 4.
2. What are the Factors of 4824?
Answer: Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824. There are 24 integers that are factors of 4824. The greatest factor of 4824 is 4824.
3. What are the Factors of 4828?
Answer: Factors of 4828 are 1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828. There are 12 integers that are factors of 4828. The greatest factor of 4828 is 4828.
4. How to Find the GCF of 4824 and 4828?
Answer:
Greatest Common Factor of 4824 and 4828 = 4
Step 1: Find the prime factorization of 4824
4824 = 2 x 2 x 2 x 3 x 3 x 67
Step 2: Find the prime factorization of 4828
4828 = 2 x 2 x 17 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 4824 and 4828 is 4